cochainComplex

P147765

predicate

Indicates that one mathematical object is a cochain complex, i.e., a sequence of abelian groups or modules connected by homomorphisms whose composition of consecutive maps is zero.

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All labels observed (2)

Label	Occurrences
cochainComplex canonical	1
cochainComplexType	1

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction

Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'

Input

Predicate: cochainComplex

Generated description

Indicates that one mathematical object is a cochain complex, i.e., a sequence of abelian groups or modules connected by homomorphisms whose composition of consecutive maps is zero.

Sample triples (2)

Subject	Object
de Rham cohomology	(Ω^*(M), d) ⓘ
Alexander–Spanier cohomology	Alexander–Spanier cochain complex via predicate surface "cochainComplexType" ⓘ